Bounds on initial coefficients for a new subclass of bi-univalent functions

Abstract

Abstract:In recent years, the study of bi-univalent functions have gathered momentum mainly due to the pioneering work of Srivastava et al. [19], which has actually revived the study of the coefficient problems involving bi-univalent functions. With motivation from the work of Srivastava et al. [19], in the present paper we introduce a new subclass T Σ [φ ] of the function class Σ of bi-univalent functions defined in the open unit disk U = {z ∈ C : |z| < 1}. Further, for the functions in this subclass T Σ [φ ] we obtain bounds on |a 2 |, |a 3 | and |a 4 |.

Coefficient Estimates for Certain Subclasses of m-Fold Symmetric Bi-univalent Functions Associated with Pseudo-Starlike Functions

“…Motivated by their work, many researchers (viz. [1], [5], [7], [9], [14], [17], [18], [20], [21], [22] Functions of the form:…”

On Some Subclasses of $m$-fold Symmetric Bi-univalent Functions associated with the Sakaguchi Type Functions

“…Indeed, the study of the class Σ has been accelerated greatly due to the fundamental work of Srivastava et al [27]. After that many researchers ( [1], [4], [6], [8], [13], [17], [19], [24], [20], [21], [23], [14] etc.) found coefficient estimates for functions in several subclasses of Σ.…”

On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator

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